precalculus due now!!!(easy)

HAND-IN: Section R.4 (p. 45) #1, 3, odd 9-17, odd 27-35, 37 and then 51 (first find the slope through these points, and then write the equation), 39 and then 53 (same idea), 41 and 55, 43 and 57, 45 and 59, 66, 67, 69. For #66(b),(c) and 67(b),(c), you do not need to GRAPH the linear functions whose equations you determined in (a)-(c)–for finding a good window in cases like these can be difficult. You should, however, have a sense of what linear cost, revenue, and profit functions look like (which is illustrated on p. 44 of your text).

 

*I jot down all questions on one page and you also should do 66,67,and 69 which is on the other photos.

and I will post a note I took in a class you can use. That will help you and please finish within few hours.

Polymomials

Linear Functions—–y=mx+b

F(x)=2x+1

Y=1, m=0

G(x)=-2x+1

M<0

Decreasing

x=2

slope is undefined

(2,0)

Quadratic functions, y=ax^2+bx+c

y=x^2

f(x)=x^2+2

Y=-x^2

H(x)=(x+2)^2=x^2+4x+4

Y=x^3

Y=√x, x≥0

Y=3√x

(1,1)

1/x, x≠0

————————————————–going over past——————————————

y-y_1=m(x-x_1)

Chapter R functions, Gtaphs, and Models

(R.4) Slope & Linear Functions

Ex) Find the equation of the line through (-2, 4) with slope m= -3/5

Y-4=-3/5(x-(-2))

y-4= -3/5(x+2)

y=-3/5(x+2)+4

y=(-3/5)x-6/5+4

y=(-3/5)x+14/5

ex) write the equation of the line through (-2, 4) and (1,2) m= 4-2/-2-1 =2/-3

y-2=-2/3(x-1)

y=-2/3(x-1)+2

y=(-2/3)x+2/3+2

y=(-2/3)x+8/3

ex) The management of a firm producing poultry feed plants to charge $24 per bag. The cost has a fixed component of $100, and increases by $20 per bag produced.

(a) Find the revenue function: R(x)=(price)x

R(x)=24x

(b) Find the cost function: C(x)=20x+100

(c) How many units must be produced and sold for the firm to break even(가격=레비뉴)?

R(x)=C(x)

24=20x+100

4x=100

X=25 units

(d) What is the common dollar value for the break even cost and revenue?

R(25)=24(25)=$600

C(x)=20x+100

600

100

25

R(x)=24x

(e) Use the cost and revenue to determine the profit function for X units produced & sold.

P(x)=R(X)-C(x)

=24x-(20x+100)

=24x-20x-100

P(x)=4x-100

(f) What is the profit if 50 units are produced and sold?

P(50)=4(50)-100=$100 p(x)=4x-100

(
-100
)